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FinnZ [79.3K]
1 year ago
7

What is value of x? Enter your answer in the box.

Mathematics
1 answer:
marin [14]1 year ago
8 0

Answer:

x \ = \ 10

Step-by-step explanation:

Let point D be the point where the straight line drawn from point A meets the straight line BC, it is evident that \triangle ABD and \triangle ACD is similar given that both triangles share the same angle, \angle BAD \ = \ \angle DAC. Hence, the ratio of the sides of each triangle is the same. Specifically,

                                              \displaystyle{\frac{x+4}{8} \ = \ \frac{2x+1}{12}}.

Performing cross multiplication yields

                                           12\left(x+4\right) \ = \ 8\left(2x+1\right) \\ \\ \rule{0.15cm}{0cm}12x+48 \ = \ 16x+8 \\ \\ \rule{1.1cm}{0cm} 4x \ = \ 40 \\ \\ \rule{1.3cm}{0cm} x \ = \ 10.

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A box office sold 147,523 tickets for an auto race.
Marysya12 [62]

Answer:

78,799 children's tickets

Step-by-step explanation:

147,523 total tickets, 68,724 adult tickets

Subtract to find amount of children's tickets:

147,523-68,724 = 78,799

5 0
3 years ago
What is 2 + 2, minus 4?
Archy [21]

Answer:

0

Step-by-step explanation:

2 + 2 = 4 and then 4 - 4 = 0

8 0
3 years ago
Read 2 more answers
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several
jonny [76]

A) A ratio system

B) The 4 lb peanuts and the 1 lb mixture because the 4lb added to the 1lb of mixture give the correct percentages.

4 0
3 years ago
I WILL MARKED BRAINLIEST IF YOU COULD ANSWER THIS!
tester [92]

Answer:

s = -2400t + 17400

Step-by-step explanation:

Let's say t is the x value on a coordinate plane, and s is the y. Then, we have the points (0, 17400) and (6, 3000). The slope of these is 14400/-6 or -2400.

Now we just have the equation y = -2400x + b, and from the point (0, 17400) we can find that b is 17400. So, we have y = -2400x + 17400. Convert these back into t and s and you get your answer, s = -2400t + 17400.

6 0
3 years ago
Jenny and Hanan are collecting clothes for a clothing drive. Hanan collected 1/2 as many bags of clothes as Jenny did. If Jenny
Montano1993 [528]

Answer:

Hanan collect \frac{3}{8} of a bag of clothes

Step-by-step explanation:

Let

x ------> amount of clothing bag that Jenny collected

y ------> amount of clothing bag that Hanan collected

we know that

y=\frac{1}{2}x -----> equation A

x=\frac{3}{4} -----> equation B

Substitute equation B in equation A

y=\frac{1}{2}(\frac{3}{4})

y=\frac{3}{8}

therefore

Hanan collect \frac{3}{8} of a bag of clothes

5 0
3 years ago
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